A074539 a(n) = 2^n + 5^n + 8^n.

3, 15, 93, 645, 4737, 35925, 277833, 2175405, 17168097, 136171365, 1083508473, 8638764765, 68963621457, 550976525205, 4404150043113, 35214889699725, 281627564666817, 2252562753269445, 18018213207009753, 144134261562708285

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

D. Suprijanto, I. W. Suwarno, Observation on Sums of Powers of Integers Divisible by 3k-1, Applied Mathematical Sciences, Vol. 8, 2014, no. 45, pp. 2211-2217.

Index entries for linear recurrences with constant coefficients, signature (15,-66,80).

Formula

From Mohammad K. Azarian, Dec 27 2008: (Start)

G.f.: 1/(1-2*x) + 1/(1-5*x) + 1/(1-8*x).

E.g.f.: exp(2*x) + exp(5*x) + exp(8*x). (End)

Mathematica

Table[2^n + 5^n + 8^n, {n, 0, 20}]

Prog

(Magma) [2^n + 5^n + 8^n: n in [0..25]]; // Vincenzo Librandi, Jun 11 2011

Crossrefs

Cf. A001550, A001576, A034513, A001579, A074501 - A074580.

Sequence in context: A256335 A258313 A368966 * A103210 A203014 A060066

Adjacent sequences: A074536 A074537 A074538 * A074540 A074541 A074542

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved